Two killed in France after River Seine reaches highest water level in 35 years, while Germany reports 10 deaths.

Torrential rain and flooding have killed at least 14 people across Europe, with France declaring a natural disaster after the River Seine in Paris burst its banks in some places displacing thousands of people.

French President Francois Hollande made the announcement on Friday, saying compensation would be paid to those affected by the worst flooding to hit the French capital in 35 years.

"When there are climate phenomena of such seriousness, we must all be conscious that it's on a world scale and that we must act," Hollande said.

Paris Mayor Anne Hidalgo has ordered some parks to shut down, and gymnasiums to open to homeless people amid the flooding, which city authorities said could take weeks to recede.

The French interior ministry said 20,000 people have been evacuated from their homes.

At least 20,000 homes in the south of Paris have lost power.

French environment officials said the Seine will reach its maximum level late on Friday as rainfall across the country begins to taper off.

The flooding has also forced many museums in the French capital, including the Louvre, to shut down, as a protective measure.

Fatalities in three countries

As the flooding continues, French authorities said on Friday that a second person had died in the flooding. The 74-year-old man fell into a river in the Seine-et-Marne region east of Paris. He was riding a horse at the time of the accident on Thursday evening.

Earlier in the week, an 86-year-old woman died in her flooded home in Souppes-sur-Loing, southeast of Paris.

In Germany, 10 people have been killed, including four in Baden-Wuerttemberg, to Bavaria's west, in flooding that hit Sunday and Monday.

The German Insurance Association estimated that this week's flooding has caused some $500m in damage in the state of Baden-Wuerttemberg alone.